Abstract
Heat transfer in gravity-driven granular flow has been encountered in many industrial processes, such as waste heat recovery and concentrated solar power. To understand more about Moving Bed Heat Exchanger (MBHE) applied in this field, numerical simulation was carried out for the characteristics of granular flow near different surfaces through discrete element method (DEM). In this paper, both the performances of particles motion and heat transfer were investigated. It’s found that, even though the macroscopic granular flow is similar to fluid, there is still obvious discrete nature partly. The fluctuations of parameters in granular flow are inevitable which is more obvious in the circular tube cases. A special phenomenon, where competition motion is found, is resulted from discrete nature of particles. In terms of heat transfer, overall heat transfer coefficients for plate are higher than that of tube owing to better contact between particles and wall. However, due to competition motion, particles in high temperature tend to contact the tube, which is beneficial to heat transfer in some local zones. The heat transfer characteristics above will also affect the temperature distribution near the outlet of different geometries.
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Abbreviations
- A :
-
area of surface/m2
- c p :
-
specific heat capacity/J·kg1·K−1
- E :
-
Young modulus/Pa
- F :
-
force/N
- h loc :
-
local heat transfer coefficient/W·m−2·K−1
- h tot :
-
overall heat transfer coefficient/W·m−2·K−1
- k :
-
thermal conductivity/W·m−1·K−1
- l :
-
distance between particles/m
- q :
-
average heat flux/W
- R :
-
heat transfer resistance/K·W−1
- r :
-
radius of particle/m
- T :
-
temperature/K
- Δt :
-
time step/s
- u :
-
velocity/m·s−1
- X :
-
view factor
- α,β :
-
angle/rad
- δ :
-
thickness of gas layer/m
- ε :
-
emissivity
- Θ :
-
dimensionless temperature
- ρ :
-
density of particle/kg·m−3
- σ :
-
Stefan-Boltzmann number/W·m−2·K−4
- f:
-
gas phase
- i, j:
-
particles index
- in:
-
particles inlet
- n:
-
normal direction
- s:
-
solid phase
- t:
-
tangential direction
- wall:
-
surface wall
References
Barati M., Esfahani S., Utigard T.A., Energy recovery from high temperature slags. Energy, 2011, 36(9): 5440–5449.
Liu J.X., Yu Q.B., Peng J.Y., et al., Thermal energy recovery from high-temperature blast furnace slag particles. International Communications in Heat and Mass Transfer, 2015, 69: 23–28.
Baumann T., Zunft S., Development and performance assessment of a moving bed heat exchanger for solar central receiver power plants. Energy Procedia, 2015, 69: 748–757.
Baumann T., Zunft S., Tamme R., Moving bed heat exchangers for use with heat storage in concentrating solar plants: A multiphase model. Heat Transfer Engineering, 2014, 35(3): 224–231.
Nguyen C., Sadowski D., Alrished A., et al., Study on solid particles as a thermal medium. Energy Procedia, 2014, 49: 637–646.
Qoaider L., Thabit Q., Kiwan S., Innovative sensible heat transfer medium for a moving bed heat exchanger in solar central receiver power plants. Applied Solar Energy, 2017, 53(2): 161–166.
Al-Ansary H., El-Leathy A., Al-Suhaibani Z., et al., Experimental study of a sand-air heat exchanger for use with a high-temperature solar gas turbine system. Journal of Solar Energy Engineering, 2012, 134(4): 041017.
Albrecht K.J., Ho C.K., Heat transfer models of moving packed-bed particle-to-sCO2 heat exchangers. 11th ASME International Conference on Energy Sustainability, Charlotte, NC, 2017, 6: 26–30.
Patton J.S., Sabersky R.H., Brennen C.E., Convective heat transfer to rapidly flowing, granular materials. International Journal of Heat and Mass Transfer, 1986, 29(8): 1263–1269.
Natarajan V.V.R., Hunt M.L., Heat transfer in vertical granular flows. Experimental Heat Transfer, 1997, 10(2): 89–107.
Golob M., Jeter S., Sadowski D., Heat transfer coefficient between flat surface and sand. The ASME 5th International Conference on Energy Sustainability, Washington, DC, 2011, 8: 7–10.
Morris A.B., Ma Z., Pannala S., et al., Simulations of heat transfer to solid particles flowing through an array of heated tubes. Solar Energy, 2016, 130: 101–115.
Morris A.B., Pannala S., Ma Z., et al., A conductive heat transfer model for particle flows over immersed surfaces. International Journal of Heat and Mass Transfer, 2015, 89: 1277–1289.
Thomas B., Mason M.O., Sprung R., et al., Heat transfer in shallow vibrated beds. Powder Technology, 1998, 99(3): 293–301.
Srivastava A., Sundaresan S., Analysis of a frictionalkinetic model for gas-particle flow. Powder Technology, 2003, 129(1–3): 72–85.
Hou Q.F., Zhou Z.Y, Yu A.B., Gas-solid flow and heat transfer in fluidized beds with tubes: Effects of material properties and tube array settings. Powder Technology, 2016, 296: 59–71.
Chauchat J., Médale M., A three-dimensional numerical model for dense granular flows based on the µ(I) rheology. Journal of Computational Physics, 2014, 256: 696–712.
Sun Q.C., Wang G.Q., Introduction to mechanics of particulate matter. Science Press, Beijing, China, 2009, pp. 31–34.
Delvosalle C., Vanderschuren J., Gas-to-particle and particle-to-particle heat transfer in fluidized beds of large particles. Chemical Engineering Science, 1985, 40(5): 769–779.
Bu C.S., Liu D.Y., Chen X.P., et al., Modeling and coupling particle scale heat transfer with DEM through heat transfer mechanisms. Numerical Heat Transfer, 2013, 64(1): 56–71.
Vargas W.L., Mccarthy J.J., Heat conduction in granular materials. Aiche Journal, 2001, 47(5): 1052–1059.
Felske J.D., Approximate radiation shape factors between two spheres. Journal of Heat Transfer, 1978, 100(3): 547–548.
Van-Antwerpen W., Rousseau P.G., Du-Toit C.G., Multi-sphere unit cell model to calculate the effective thermal conductivity in packed pebble beds of mono-sized spheres. Nuclear Engineering and Design, 2012, 247: 183–201.
Zhang H.M., Zhou Z.Y., Yu A.B., et al., Discrete particle simulation of solid flow in a melter-gasifier in smelting reduction process. Powder Technology, 2017, 314: 641–648.
Yang X.T., Hu W.P., Jiang S.Y., et al., Mechanism analysis of quasi-static dense pebble flow in pebble bed reactor using phenomenological approach. Nuclear Engineering and Design, 2012, 250: 247–259.
Gui N., Yang X.T., Tu J.Y., et al., A simple geometrical model for analyzing particle dispersion in a gravity-driven monolayer granular bed. Powder Technology, 2014, 254: 432–438.
Acknowledgments
The work is financially supported by National Basic Research Program of China (Grant No. 2017YFB0603500), the National Nature Science Foundation of China (No. 51536007) and the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (No. 51721004).
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Guo, Z., Tian, X., Yang, J. et al. Comparison of Heat Transfer in Gravity-Driven Granular Flow near Different Surfaces. J. Therm. Sci. 30, 441–450 (2021). https://doi.org/10.1007/s11630-020-1357-4
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DOI: https://doi.org/10.1007/s11630-020-1357-4